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Immune surveillance and neoplasia—II a two-stage mathematical model

✍ Scribed by Aldo Rescigno; Charles DeLisi

Book ID
104272243
Publisher
Springer
Year
1977
Tongue
English
Weight
641 KB
Volume
39
Category
Article
ISSN
1522-9602

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✦ Synopsis

In a previous paper (DeLisi and Rescigno, 1977) a model for the interaction of tumor cells and killer lymphocytes was presented. Although that model was highly simplified, the qualitative behavior was in accord with intuitive expectations and a wide range of data, It could not however account for de nova tumor development. In this paper a slightly more realistic model is presented by introducing a delay in the formation of killer lymphocytea. This is done by requiring two stages in the production of a killer. We show that introduction of this second stage allows tumor development from even a single cell, thus removing an important limitation of two variable systems.

📜 SIMILAR VOLUMES

Immune surveillance and neoplasia—1 a mi
Immune surveillance and neoplasia—1 a minimal mathematical model
✍ Charles DeLisi; Aldo Rescigno 📂 Article 📅 1977 🏛 Springer 🌐 English ⚖ 972 KB

A deterministic predator-prey model is presented for describing the dynamics of a solid tumor in the presence of a specifically reactive lymphocyte population which is stimulated by, and antagonistic to, the tumor. The qualitative behavior of the solutions is developed and briefly compared to the re